On local spectral properties of complex symmetric operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Jung, S.²  Ko, E.²  Lee, M.²  Lee, J.¹ 

[1] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea

[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea

关键词: Complex symmetric operator;    Dunford's property (C);    Property (beta);    Decomposable;    Invariant subspaces;    Weyl's theorem;   

DOI  :  10.1016/j.jmaa.2011.01.009

来源: Elsevier

【 摘 要 】

In this paper we study properties of complex symmetric operators. In particular, we prove that every complex symmetric operator having property (beta) or (delta) is decomposable. Moreover, we show that complex symmetric operator T has Dunford's property (C) and it satisfies Weyl's theorem if and only if its adjoint does. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free